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Journal of the American Statistical Association Volume 88, 1993 - Issue 424
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Theory and Method

The Use and Interpretation of Residuals Based on Robust Estimation

Joseph W. McKean Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, MI, 49008
,
Simon J. Sheather Australian Graduate School of Management, University of New South Wales, Kensington, NSW, 2033, Australia
&
Thomas P. Hettmansperger Department of Statistics, Pennsylvania State University, University Park, PA, 16802
Pages 1254-1263 | Received 01 Jan 1990, Published online: 27 Feb 2012

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Kenneth Rice & David Spiegelhalter. (2006) A Simple Diagnostic Plot Connecting Robust Estimation, Outlier Detection, and False Discovery Rates. Journal of Applied Statistics 33:10, pages 1131-1147.
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ThomasP. Hettmansperger, JosephW. McKean & SimonJ. Sheather. (2000) Robust Nonparametric Methods. Journal of the American Statistical Association 95:452, pages 1308-1312.
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ArnoldJ. Stromberg, Ola Hössjer & DouglasM. Hawkins. (2000) The Least Trimmed Differences Regression Estimator and Alternatives. Journal of the American Statistical Association 95:451, pages 853-864.
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JosephW. Mckean & SimonJ. Sheather. (2000) Partial Residual Plots Based on Robust Fits. Technometrics 42:3, pages 249-261.
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JosephW. McKean & SimonJ. Sheather. (1999) Comment. Journal of the American Statistical Association 94:446, pages 411-415.
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WilliamH. Chang, JosephW. McKean, JoshuaD. Naranjo & SimonJ. Sheather. (1999) High-Breakdown Rank Regression. Journal of the American Statistical Association 94:445, pages 205-219.
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Joseph W. Mc Kean, Joshua D. Naranjo & Simon J. Sheather. (1999) Diagnostics for comparing robust and least squares fits. Journal of Nonparametric Statistics 11:1-3, pages 161-188.
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Joseph W. McKean, Joshua D. Naranjo & Simon J. Sheather. (1996) An efficient and high breakdown procedure for model criticism. Communications in Statistics - Theory and Methods 25:11, pages 2575-2595.
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JosephW. McKean, SimonJ. Sheather & ThomasP. Hettmansperger. (1994) Robust and High-Breakdown Fits of Polynomial Models. Technometrics 36:4, pages 409-415.
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Marianthi Markatou & Xuming He. (1994) Bounded Influence and High Breakdown Point Testing Procedures in Linear Models. Journal of the American Statistical Association 89:426, pages 543-549.
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Rand R. Wilcox. 2022. Introduction to Robust Estimation and Hypothesis Testing. Introduction to Robust Estimation and Hypothesis Testing 577 651 .
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Rand Wilcox. 2017. Introduction to Robust Estimation and Hypothesis Testing. Introduction to Robust Estimation and Hypothesis Testing 517 583 .
V.M. Lourenço & A.M. Pires. (2014) M-regression, false discovery rates and outlier detection with application to genetic association studies. Computational Statistics & Data Analysis 78, pages 33-42.
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Alessio FarcomeniLaura Ventura. (2010) An overview of robust methods in medical research. Statistical Methods in Medical Research 21:2, pages 111-133.
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Bradley E. Huitema. 2011. The Analysis of Covariance and Alternatives. The Analysis of Covariance and Alternatives 643 654 .
Joseph W. McKean, Jeff T. Terpstra & John D. Kloke. (2009) Computational rank‐based statistics. WIREs Computational Statistics 1:2, pages 132-140.
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Joseph W. McKean & Simon J. Sheather. (2009) Diagnostic procedures. WIREs Computational Statistics 1:2, pages 221-233.
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S. Cankaya. (2008) A comparative study of some estimation methods for parameters and effects of outliers in simple regression model for research on small ruminants. Tropical Animal Health and Production 41:1, pages 35-41.
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V. Grunert da. Fonseca & N. R. J. Fieller. (2005) Distortion in statistical inference: the distinction between data contamination and model deviation. Metrika 63:2, pages 169-190.
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Joseph W. McKean. (2004) Robust Analysis of Linear Models. Statistical Science 19:4.
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Alan D. Chave & David J. Thomson. (2003) A Bounded Influence Regression Estimator Based on the Statistics of the Hat Matrix. Journal of the Royal Statistical Society Series C: Applied Statistics 52:3, pages 307-322.
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M Rashid. 2003. Encyclopedia of Biopharmaceutical Statistics, Second edition. Encyclopedia of Biopharmaceutical Statistics, Second edition 870 883 .
Christophe Croux, Stefan Van Aelst & Catherine Dehon. (2003) Bounded influence regression using high breakdown scatter matrices. Annals of the Institute of Statistical Mathematics 55:2, pages 265-285.
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George A. F. Seber & Alan J. Lee. 2003. Linear Regression Analysis. Linear Regression Analysis 531 548 .
Rand R. Wilcox. (2000) Some Exploratory Methods for Studying Curvature in Robust Regression. Biometrical Journal 42:3, pages 335-347.
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Larry W. Taylor. 1999. Messy Data. Messy Data 243 268 .
Thomas P. Hettmansperger, Joseph W. McKean & Simon J. Sheather. 1997. Robust Inference. Robust Inference 145 173 .
Peter J. Rousseeuw. 1997. Robust Inference. Robust Inference 101 121 .
A.H. Welsh. 1996. Aspects of Statistical Inference. Aspects of Statistical Inference 409 427 .
Peter Ihm & Ingeborg Küchler. 1996. From Data to Knowledge. From Data to Knowledge 186 194 .
Joachim Gassen & David Veenman. (2021) Outliers and Robust Inference in Archival Accounting Research. SSRN Electronic Journal.
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